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We consider single-layer arrays of electrically small lossy bi-anisotropic particles that completely absorb electromagnetic waves at normal incidence. Required conditions for electromagnetic properties of bi-anisotropic particles have been…

Classical Physics · Physics 2014-06-16 Younes Ra'di , Victor S. Asadchy , Sergei A. Tretyakov

Based on the quantum electrodynamics, we present a generic formalism of the polarization for beamed monochromatic photons scattered by electrons in any spectral distribution. The formulae reduce to the components of the Fano matrix when…

High Energy Astrophysical Phenomena · Physics 2014-11-07 Zhe Chang , Yunguo Jiang , Hai-Nan Lin

A rigorous theory of electromagnetic (EM) wave scattering by small perfectly conducting particles is developed. The limiting case when the number of particles tends to infinity is discussed.

Mathematical Physics · Physics 2009-11-13 A. G. Ramm

A theory of electromagnetic (EM) wave scattering by many small particles of an arbitrary shape is developed. The particles are perfectly conducting or impedance. For a small impedance particle of an arbitrary shape an explicit analytical…

Mathematical Physics · Physics 2016-01-12 A. G. Ramm

We revisit the total scatterings (in terms of extinction, scattering and absorption cross sections) by arbitrary clusters of nonmagnetic particles that support optically-induced magnetic responses. Our reexamination is conducted from the…

Optics · Physics 2020-09-23 Qingdong Yang , Weijin Chen , Yuntian Chen , Wei Liu

In this paper, we present a method to retrieve tensor polarizabilities of general bi-anisotropic particles from their far-field responses to plane-wave illuminations. The necessary number of probing excitations and the directions where the…

Electromagnetic (EM) wave scattering by many parallel infinite cylinders is studied asymptotically as a tends to 0, where a is the radius of the cylinders. It is assumed that the centres of the cylinders are distributed so that their…

Computational Physics · Physics 2015-06-05 A. G. Ramm , M. I. Andriychuk

For two electrically small nonreciprocal scatterers an analytical electromagnetic model of polarizabilities is developed. Both particles are bianisotropic: the so-called Tellegen-omega particle and moving-chiral particle. Analytical results…

Optics · Physics 2014-06-16 M. S. Mirmoosa , Y. Ra'di , V. S. Asadchy , C. R. Simovski , S. A. Tretyakov

Scattering of electromagnetic waves by many small particles of arbitrary shapes is reduced rigorously to solving linear algebraic system of equations bypassing the usual usage of integral equations. The matrix elements of this linear…

Mathematical Physics · Physics 2009-11-11 A. G. Ramm

Electromagnetic wave scattering by many parallel infinite cylinders is studied asymptotically as $a\to 0$. Here $a$ is the radius of the cylinders. It is assumed that the points $\hat{x}_m$ are distributed so that…

Mathematical Physics · Physics 2012-09-03 Alexander G. Ramm

Scattering of electromagnetic waves lies at the heart of most experimental techniques over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and X-rays. Hence, deep insight into the basics of scattering theory…

In this paper we study electrically small chiral objects with isotropic response and zero backscattering. A bi-isotropic sphere is used as a simple example and its zero-backscattering conditions are studied. A theoretical model of an object…

Classical Physics · Physics 2015-06-04 Antti O. Karilainen , Sergei A. Tretyakov

In this work we present a method for generating random matrices describing electromagnetic scattering from disordered media containing dielectric particles with prescribed single particle scattering characteristics. Resulting scattering…

Optics · Physics 2022-12-15 Niall Byrnes , Matthew R. Foreman

A reduction of the Maxwell's system to a Fredholm second-kind integral equation with weakly singular kernel is given for electromagnetic (EM) wave scattering by one and many small bodies. This equation is solved asymptotically as the…

Mathematical Physics · Physics 2009-11-13 A. G. Ramm

The Lorenz--Mie formulation of electromagnetic scattering by a homogeneous, isotropic, dielectric-magnetic sphere was extended to incorporate topologically insulating surface states characterized by a surface admittance $\gamma$.…

Optics · Physics 2020-03-31 Akhlesh Lakhtakia , Tom G. Mackay

A multi-channel scattering problem is studied from a point of view of integral equations system. The system appears while natural one-particle wave function equation of the electron under action of a potential with non-intersecting ranges…

Quantum Physics · Physics 2016-09-08 Sergey Leble , Sergey Yalunin

A formula for the electromagnetic (EM) field in the medium, in which many small perfectly conducting particles of an arbitrary shape are distributed, is derived.

Mathematical Physics · Physics 2015-06-18 Alexander G. Ramm

In this work, we are concerned with the mathematical modeling of the electromagnetic (EM) scattering by arbitrarily shaped non-magnetic nanoparticles with high refractive indices. When illuminated by visible light, such particles can…

Mathematical Physics · Physics 2021-08-13 Habib Ammari , Bowen Li , Jun Zou

Scattering of electromagnetic (EM) waves by one and many small ($ka\ll 1$) impedance particles $D_m$ of an arbitrary shape, embedded in a homogeneous medium, is studied. Analytic formula for the field, scattered by one particle, is derived.…

Analysis of PDEs · Mathematics 2013-04-10 A. G. Ramm

Optical properties of nonmagnetic structures that support artificial optically-induced magnetic responses have recently attracted surging interest. Here we conduct symmetry-dictated investigations into scattering properties of nonmagnetic…

Optics · Physics 2020-04-02 Qingdong Yang , Weijin Chen , Yuntian Chen , Wei Liu
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